Q: What are the prime factors of the number 67,700,477?

 A: 13, 17, 19, 23, 701

Why are those the prime factors of the number 67,700,477?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 67,700,477

67,700,477
Factor Arrows
135,207,729
Factor Arrows
17306,337
Factor Arrows
1916,123
Factor Arrows
23701

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

13, 17, 19, 23, 701

We can check our work by multiplying all of the prime factors together: 13 x 17 x 19 x 23 x 701 = 67,700,477

This can also be written as 131 x 171 x 191 x 231 x 7011 = 67,700,477

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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